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Finding the Fourth Proportional to 30,151.80, 41,607.90 and 16,722

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Solution

The fourth proportional to 30,151.80, 41,607.90 and 16,722 is: 23,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.80 : 41,607.90 = 16,722 : x
  2. Step 2: Convert to fraction form
    30,151.80/41,607.90 = 16,722/x
  3. Step 3: Cross multiply
    30,151.80x = 41,607.90 × 16,722
  4. Step 4: Simplify right side
    30,151.80x = 695,767,303.80
  5. Step 5: Solve for x
    x = 695,767,303.80/30,151.80
  6. Step 6: Final answer
    x = 23,075.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.